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Volumn 22, Issue 3, 2005, Pages 445-459

Reconstruction methods and completeness conditions for two Compton data models

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CAMERAS; COMPUTER SIMULATION; DOPPLER EFFECT; INTEGRAL EQUATIONS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; POSITRON EMISSION TOMOGRAPHY; RADIOACTIVITY;

EID: 15244343156     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.22.000445     Document Type: Article
Times cited : (65)

References (47)
  • 1
    • 0003684251 scopus 로고    scopus 로고
    • "A Compton camera for low energy gamma ray imaging in nuclear medicine applications"
    • Ph.D. thesis (University of Michigan, Ann Arbor, Mich.)
    • J. W. Leblanc, "A Compton camera for low energy gamma ray imaging in nuclear medicine applications," Ph.D. thesis (University of Michigan, Ann Arbor, Mich., 1999).
    • (1999)
    • Leblanc, J.W.1
  • 2
    • 0030348466 scopus 로고    scopus 로고
    • "Theoretical performance comparison of a Compton-scatter aperture and parallel-hole collimator"
    • (IEEE Press, Piscataway, N.J.)
    • N. H. Clinthorne, C. Ng, C. Hua, and J. E. Gormley, "Theoretical performance comparison of a Compton-scatter aperture and parallel-hole collimator," in Nuclear Science Symposium, 1996. Conference Record (IEEE Press, Piscataway, N.J., 1996), Vol. 2, pp. 788-792.
    • (1996) Nuclear Science Symposium, 1996. Conference Record , vol.2 , pp. 788-792
    • Clinthorne, N.H.1    Ng, C.2    Hua, C.3    Gormley, J.E.4
  • 4
    • 0035128888 scopus 로고    scopus 로고
    • "Absolute activity quantitation in simultaneous 123WE/99mTc Brain SPECT"
    • G. E. Fakhri, S. C. Moore, P. Maksud, A. Aurengo, and M. F. Kijewski, "Absolute activity quantitation in simultaneous 123WE/99mTc Brain SPECT," J. Nucl. Med.42, 300-308 (2001).
    • (2001) J. Nucl. Med. , vol.42 , pp. 300-308
    • Fakhri, G.E.1    Moore, S.C.2    Maksud, P.3    Aurengo, A.4    Kijewski, M.F.5
  • 5
    • 0036816148 scopus 로고    scopus 로고
    • "Quantitative simultaneous 99mTC/123WE SPECT: Design study and validation with Monte Carlo simulations and physical acquisitions"
    • G. E. Fakhri, P. Maksud, M. F. Kijewski, R. E. Zimmerman, and S. C. Moore, "Quantitative simultaneous 99mTC/123WE SPECT: design study and validation with Monte Carlo simulations and physical acquisitions," IEEE Trans. Nucl. Sci. 49, 2315-2321 (2002).
    • (2002) IEEE Trans. Nucl. Sci. , vol.49 , pp. 2315-2321
    • Fakhri, G.E.1    Maksud, P.2    Kijewski, M.F.3    Zimmerman, R.E.4    Moore, S.C.5
  • 9
    • 0030353812 scopus 로고    scopus 로고
    • "A novel Compton scatter camera design for in vivo medical imaging of radiopharmaceuticals. Part II"
    • R. C. Rohe and J. D. Valentine, "A novel Compton scatter camera design for in vivo medical imaging of radiopharmaceuticals. Part II," IEEE Trans. Nucl. Sci. 43, 3256-3263 (1996).
    • (1996) IEEE Trans. Nucl. Sci. , vol.43 , pp. 3256-3263
    • Rohe, R.C.1    Valentine, J.D.2
  • 10
    • 34547327743 scopus 로고
    • "A quantum theory of the scattering of x-rays by light elements"
    • A. H. Compton, "A quantum theory of the scattering of x-rays by light elements," Phys. Rev. 21, 483-502 (1923).
    • (1923) Phys. Rev. , vol.21 , pp. 483-502
    • Compton, A.H.1
  • 11
    • 0031366929 scopus 로고    scopus 로고
    • "Doppler broadening of energy spectra in Compton cameras"
    • (IEEE Press, Piscataway, N.J.)
    • C. E. Ordonez, A. Bolozdynya, and W. Chang, "Doppler broadening of energy spectra in Compton cameras," in Nuclear Science Symposium, 1997. Conference Record (IEEE Press, Piscataway, N.J., 1997), Vol. 2, pp. 1361-1365.
    • (1997) Nuclear Science Symposium, 1997. Conference Record , vol.2 , pp. 1361-1365
    • Ordonez, C.E.1    Bolozdynya, A.2    Chang, W.3
  • 15
    • 0034245169 scopus 로고    scopus 로고
    • "Reconstruction of cone-beam projections from Compton scattered data"
    • L. C. Parra, "Reconstruction of cone-beam projections from Compton scattered data," IEEE Trans. Nucl. Sci. 47, 1543-1550 (2000).
    • (2000) IEEE Trans. Nucl. Sci. , vol.47 , pp. 1543-1550
    • Parra, L.C.1
  • 16
    • 0031981252 scopus 로고    scopus 로고
    • "Application of spherical harmonics to image reconstruction for the Compton camera"
    • R. Basko, G. L. Zeng, and G. T. Gullberg, "Application of spherical harmonics to image reconstruction for the Compton camera," Phys. Med. Biol. 43, 887-894 (1998).
    • (1998) Phys. Med. Biol. , vol.43 , pp. 887-894
    • Basko, R.1    Zeng, G.L.2    Gullberg, G.T.3
  • 17
    • 0037150465 scopus 로고    scopus 로고
    • "Image reconstruction from limited angle Compton camera data"
    • T. Tomitani and M. Hirasawa, "Image reconstruction from limited angle Compton camera data," Phys. Med. Biol. 47, 1009-1026 (2002).
    • (2002) Phys. Med. Biol. , vol.47 , pp. 1009-1026
    • Tomitani, T.1    Hirasawa, M.2
  • 18
    • 0038029533 scopus 로고    scopus 로고
    • "An analytical image reconstruction algorithm to compensate for scattering angle broadening in Compton cameras"
    • M. Hirasawa and T. Tomitani, "An analytical image reconstruction algorithm to compensate for scattering angle broadening in Compton cameras," Phys. Med. Biol. 48, 1009-1026 (2003).
    • (2003) Phys. Med. Biol. , vol.48 , pp. 1009-1026
    • Hirasawa, M.1    Tomitani, T.2
  • 19
    • 0001069532 scopus 로고
    • "Representation of a function by its line integrals, with some radiological applications"
    • A. M. Cormack, "Representation of a function by its line integrals, with some radiological applications," J. Appl. Phys. 34, 2722-2727 (1963).
    • (1963) J. Appl. Phys. , vol.34 , pp. 2722-2727
    • Cormack, A.M.1
  • 20
    • 12544260746 scopus 로고
    • "Representation of a function by its line integrals, with some radiological applications: II"
    • A. M. Cormack, "Representation of a function by its line integrals, with some radiological applications: II," J. Appl. Phys. 35, 2908-2917 (1964).
    • (1964) J. Appl. Phys. , vol.35 , pp. 2908-2917
    • Cormack, A.M.1
  • 21
    • 0016025968 scopus 로고
    • "The reconstruction of objects from their projections"
    • E. Zeitler, "The reconstruction of objects from their projections," Optik 39, 396-445 (1974).
    • (1974) Optik , vol.39 , pp. 396-445
    • Zeitler, E.1
  • 24
    • 0025456394 scopus 로고
    • "Three-dimensional maximum-likelihood reconstruction for a electronically collimated single-photon-emission imaging system"
    • T. Hebert, R. Leahy, and M. Singh, "Three-dimensional maximum-likelihood reconstruction for a electronically collimated single-photon-emission imaging system," J. Opt. Soc. Am. A 7, 1305-1313 (1990).
    • (1990) J. Opt. Soc. Am. A , vol.7 , pp. 1305-1313
    • Hebert, T.1    Leahy, R.2    Singh, M.3
  • 28
    • 0022026907 scopus 로고
    • "Image reconstruction from cone-bem projections: Necessary and sufficient conditions and reconstruction methods"
    • B. D. Smith, "Image reconstruction from cone-bem projections: necessary and sufficient conditions and reconstruction methods," IEEE Trans. Med. Imaging MI-4, 14-28 (1985).
    • (1985) IEEE Trans. Med. Imaging , vol.MI-4 , pp. 14-28
    • Smith, B.D.1
  • 29
    • 0025429744 scopus 로고
    • "Cone beam tomography: Recent advances and a tutorial"
    • B. D. Smith, "Cone beam tomography: recent advances and a tutorial," Opt. Eng. 29, 524-534 (1990).
    • (1990) Opt. Eng. , vol.29 , pp. 524-534
    • Smith, B.D.1
  • 30
    • 0028446167 scopus 로고
    • "Towards direct reconstruction from a gamma camera based on Compton scattering"
    • M. J. Cree and P. J. Bones, "Towards direct reconstruction from a gamma camera based on Compton scattering," IEEE Trans. Med. Imaging 13, 398-407 (1994).
    • (1994) IEEE Trans. Med. Imaging , vol.13 , pp. 398-407
    • Cree, M.J.1    Bones, P.J.2
  • 31
    • 0020194763 scopus 로고
    • "Maximum likelihood reconstruction for emission tomography"
    • L. A. Shepp and Y. Vardi, "Maximum likelihood reconstruction for emission tomography," IEEE Trans. Med. Imaging MI-1, 113-122 (1982).
    • (1982) IEEE Trans. Med. Imaging , vol.MI-1 , pp. 113-122
    • Shepp, L.A.1    Vardi, Y.2
  • 32
    • 0021327145 scopus 로고
    • "EM reconstruction algorithms for emission and transmission tomography"
    • K. Lange and R. Carson, "EM reconstruction algorithms for emission and transmission tomography," J. Comput. Assist. Tomogr. 8, 306-316 (1984).
    • (1984) J. Comput. Assist. Tomogr. , vol.8 , pp. 306-316
    • Lange, K.1    Carson, R.2
  • 33
  • 35
    • 0028446166 scopus 로고
    • "Penalized weighted least-square image reconstruction for positron emission tomography"
    • J. A. Fessler, "Penalized weighted least-square image reconstruction for positron emission tomography," IEEE Trans. Med. Imaging 13, 290-300 (1994).
    • (1994) IEEE Trans. Med. Imaging , vol.13 , pp. 290-300
    • Fessler, J.A.1
  • 38
    • 0017964406 scopus 로고
    • "Density reconstruction using arbitrary ray-sampling schemes"
    • B. K. P. Horn, "Density reconstruction using arbitrary ray-sampling schemes," Proc. IEEE 66, 551-562 (1978).
    • (1978) Proc. IEEE , vol.66 , pp. 551-562
    • Horn, B.K.P.1
  • 39
    • 0013149264 scopus 로고
    • "Computer-aided tomography imaging from cone-beam data"
    • Ph.D. thesis (University of Rhode Island, Kingston, R.I.)
    • B. D. Smith, "Computer-aided tomography imaging from cone-beam data," Ph.D. thesis (University of Rhode Island, Kingston, R.I., 1987).
    • (1987)
    • Smith, B.D.1
  • 40
    • 0024133215 scopus 로고
    • "A multigrid expectation maximization reconstruction algorithm for positron tomography"
    • M. V. Ranganath, A. P. Dhawan, and N. Mullani, "A multigrid expectation maximization reconstruction algorithm for positron tomography," IEEE Trans. Med. Imaging 7, 273-278 (1988).
    • (1988) IEEE Trans. Med. Imaging , vol.7 , pp. 273-278
    • Ranganath, M.V.1    Dhawan, A.P.2    Mullani, N.3
  • 41
    • 0026406218 scopus 로고
    • "Numerical study of multigrid implementations of some iterative image reconstruction algorithms"
    • T. S. Pan and A. E. Yagle, "Numerical study of multigrid implementations of some iterative image reconstruction algorithms," IEEE Trans. Med. Imaging 10, 572-588 (1991).
    • (1991) IEEE Trans. Med. Imaging , vol.10 , pp. 572-588
    • Pan, T.S.1    Yagle, A.E.2
  • 44
    • 0031365461 scopus 로고    scopus 로고
    • "Applications of Compton imaging in nuclear waste characterization and treaty verification"
    • (IEEE Press, Piscataway, N.J.)
    • . G. W. Phillips, "Applications of Compton imaging in nuclear waste characterization and treaty verification," in Nuclear Science Symposium, 1996. Conference Record (IEEE Press, Piscataway, N.J., 1996), Vol. 1, pp. 362-364.
    • (1996) Nuclear Science Symposium, 1996. Conference Record , vol.1 , pp. 362-364
    • Phillips, G.W.1
  • 45
    • 2342477141 scopus 로고    scopus 로고
    • "Optimizing Compton camera geometries"
    • S. Chelikani, J. Gore, and G. Zuba, "Optimizing Compton camera geometries," Phys. Med. Biol. 49, 1387-1408 (2004).
    • (2004) Phys. Med. Biol. , vol.49 , pp. 1387-1408
    • Chelikani, S.1    Gore, J.2    Zuba, G.3
  • 46
    • 0003475042 scopus 로고    scopus 로고
    • "A Compton camera for spectroscopic imaging from 100 keV to 1 MeV"
    • Ph.D. thesis (North Carolina State University, Raleigh, N.C.)
    • J. R. D. Earnhart, "A Compton camera for spectroscopic imaging from 100 keV to 1 MeV," Ph.D. thesis (North Carolina State University, Raleigh, N.C., 1999).
    • (1999)
    • Earnhart, J.R.D.1
  • 47
    • 84966200203 scopus 로고
    • "Mathematical aspects of divergent beam radiography"
    • K. T. Smith, D. C. Solomon, and S. L. Wagner, "Mathematical aspects of divergent beam radiography," Bull. Am. Math. Soc. 83. 1227-1270 (1977).
    • (1977) Bull. Am. Math. Soc. , vol.83 , pp. 1227-1270
    • Smith, K.T.1    Solomon, D.C.2    Wagner, S.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.